Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/419,7212/5481
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 98,7212
Greatest Common Factor of Numerators i.e. GCF of 98,7212 is 2 .
LCM of Denominators means LCM of 419,5481 as per the given fractions.
LCM of 419,5481 is 2296539 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,7212
2 | 98, 7212 |
49, 3606 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 7212
List of positive integer factors of 7212 that divides 7212 without a remainder.
1,2,3,4,6,12,601,1202,1803,2404,3606,7212
Greatest Common Factor
We found the factors 98,7212 . The biggest common factor number is the GCF number.
So the greatest common factor 98,7212 is 2.
Lets's calculate LCM of 419,5481
Given numbers has no common factors except 1. So, there LCM is their product i.e 2296539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2296539
Therefore, the GCF of Fractions 98/419,7212/5481 is 2/2296539
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 419,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,5481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,5481) x common factors =1 x 1 = 1
LCM(419,5481) = ( 419 × 5481 ) / 1
LCM(419,5481) = 2296539 / 1
LCM(419,5481) = 2296539
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 98/419, 7212/5481?
Answer: GCF of Numerators as per given numbers 98/419, 7212/5481 is
GCF of Numerators i.e. for 98,7212 is 2
LCM of denominators i.e. for 419,5481 is 2296539.
Thus, GCF of Fractions is 2/2296539.Finally, GCF of Fractions for 98/419, 7212/5481 is 2/2296539.